Geodesic
Some Smoothness Properties of Measures on Topological Spaces
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 165-172

Voir la notice de l'article provenant de la source Cambridge University Press

V. S. Varadarajan has classified the bounded linear functional on the algebra C(X) of bounded continuous functions on a topological space X, according to the properties of their smoothness and related this classification to the corresponding natural classification of finitely additive regular measures on the zero sets of X. In this paper, some of these results are extended to the linear functionals on an arbitrary uniformly closed algebra A of bounded functions on a set X. 
Hegde, Shankar. Some Smoothness Properties of Measures on Topological Spaces. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 165-172. doi: 10.4153/CMB-1978-028-6
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[1] 1. Alexandrorff, A. D., Additive set functions in abstract spaces. Mat. Sb. (N.S.) 8(50) (1940), 307-348; 9(51) (1941), 563-628. Google Scholar

[2] 2. Dunford, N. and Schwartz, J., Linear operations, Part I. Interscience Publishers Inc., (1958). Google Scholar

[3] 3. Kirk, R. B., Algebras of bounded real valued functions. I, II. Nederl. Akad. Wetensch. Proc. Ser. A. 75 = Indag Math 34. (1972), 443-463. Google Scholar

[4] 4. Kirk, R. B. and Crenshaw, J. A., A generalized topological measure theory. Trans. Amer. Math. Soc. 207 (1975), 189-217. Google Scholar

[5] 5. Varadarajan, V. S., Measures on topological spaces. Mat. Sb. (N.S.) 55(97) (1961), 33-100, English transi., Amer. Math. Soc. Transi. (2) 48 (1965) 161-228. Google Scholar

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